Report of the fit

Fit summary

Description: PV19 version x. Initial parameters fluctuated.
Minimiser: minuit
Random seed: 1234
Maximum values allowed for q_T / Q: 0.2
Cut on the error function: 2.5
Parameterisation: PV19x
Explicit formula:

f_{\rm NP}(x,\zeta, b_T)= \Biggl( \frac{1-\lambda}{1 + g_1(x) b_T^2/4} + \lambda \exp \left(-g_{1B}(x) b_T^2 / 4 \right)\Biggr) \exp\left[- g_2 \log\left(\frac{\zeta}{Q_0^2}\right) b_T^2/4 - g_{2B} \log\left(\frac{\zeta}{Q_0^2}\right) b_T^4/4 \right]g_1(x) = \frac{N_1}{x\sigma} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha}\right)}{2 \sigma^2} \right]g_{1B}(x) = \frac{N_{1B}}{x\sigma_B} \exp\left[ - \frac{\ln^2\left(\frac{x}{\alpha_B}\right)}{2 \sigma_B^2} \right]Q_0^2 = 1\;{\rm GeV}^2 t_0 prescription: True

g_2	N_1	\alpha	\sigma	\lambda	N_{1B}	\alpha_B	\sigma_B	g_{2B}
0.02351590841248	0.9422997060112	0.2036619541611	0.326688434032	0.6715638120608	0.04591270083373	0.06702302432024	0.4193674275496	0.01624238607691

Theory summary

Collinear PDF set: MMHT2014nnlo68cl member 0
Collinear FF set: DSS14_NLO_PiSum member 0
b^* prescription: bstarmin
Perturbative order: N3LL
Reference value of the fine-structure constant: \alpha(Q = 91.1876\;{\rm GeV}) = 0.00776578395589 (running True)

Global statistical estimators

N_{rep} = 215
\chi_{0}^2 = 1.0347
\chi_{mean}^2 = 1.0409
\langle\chi^2\rangle \pm \sigma_{\chi^2} = 1.0655 \pm 0.0169
\langle E \rangle \pm \sigma_{E} = 2.032 \pm 0.1731

Parameters

Parameter	Central replica	Average over replicas	Fixed
g_2	0.032421552	0.03038564 \pm 0.01165879	False
N_1	0.88029848	1.12441055 \pm 1.28546903	False
\alpha	0.20236078	0.20639491 \pm 0.01379061	False
\sigma	0.31874799	0.32097298 \pm 0.06659915	False
\lambda	0.6758279	0.65726592 \pm 0.09063997	False
N_{1B}	0.041086011	0.04557651 \pm 0.01501846	False
\alpha_B	0.06963174	0.07047502 \pm 0.01026502	False
\sigma_B	0.38573834	0.37008864 \pm 0.11892036	False
g_{2B}	0.014857144	0.01485766 \pm 0.00387668	False

Fit properties

Global $\chi^2$ distribution — Global \chi^2 distribution

$\alpha$ distribution — \alpha distribution

$\sigma$ distribution — \sigma distribution

$\lambda$ distribution — \lambda distribution

$N_{1B}$ distribution — N_{1B} distribution

$\alpha_B$ distribution — \alpha_B distribution

$\sigma_B$ distribution — \sigma_B distribution

$g_{2B}$ distribution — g_{2B} distribution

Table of \chi^2’s

Central-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.6409	0.0014	0.6423
E605_Q_8_9	8	1.5475	0.0004	1.5479
E605_Q_10.5_11.5	10	0.4648	0.1565	0.6213
E288_200_Q_4_5	4	0.6701	0.7756	1.4457
E288_200_Q_5_6	5	1.6172	0.2007	1.8179
E288_200_Q_6_7	6	0.367	0.1015	0.4684
E288_200_Q_7_8	7	0.538	0.002	0.54
E288_200_Q_8_9	8	0.5951	0.0477	0.6428
E288_300_Q_4_5	4	0.5335	0.4563	0.9899
E288_300_Q_5_6	5	0.838	0.1068	0.9448
E288_300_Q_6_7	6	0.507	0.0182	0.5252
E288_300_Q_7_8	7	0.1288	0.0069	0.1357
E288_300_Q_8_9	8	0.4834	0.0016	0.485
E288_400_Q_5_6	5	0.2955	0.0002	0.2958
E288_400_Q_6_7	6	0.086	0.0052	0.0912
E288_400_Q_7_8	7	0.0242	0.0291	0.0532
E288_400_Q_8_9	8	0.4447	0.0557	0.5004
E288_400_Q_11_12	11	0.5017	0.0636	0.5653
E288_400_Q_12_13	12	0.4894	0.0552	0.5446
E288_400_Q_13_14	12	0.6029	0.0978	0.7007
STAR_510	7	0.8882	0.0375	0.9257
CDF_RunI	25	0.5319	0.0577	0.5896
CDF_RunII	26	0.8466	0.0027	0.8493
D0_RunI	12	0.597	0.0439	0.6409
D0_RunII	5	0.9087	0.5825	1.4912
D0_RunIImu	3	2.9385	0.0256	2.9641
LHCb_7TeV	7	1.0896	0.1472	1.2368
LHCb_8TeV	7	0.6181	0.1	0.7181
LHCb_13TeV	7	0.8796	0.0262	0.9058
CMS_7TeV	4	2.117	0	2.117
CMS_8TeV	4	1.4011	0.0071	1.4082
ATLAS_7TeV_y_0_1	6	2.5001	0.0276	2.5277
ATLAS_7TeV_y_1_2	6	4.1178	1.0352	5.1529
ATLAS_7TeV_y_2_2.4	6	3.5149	0.3817	3.8966
ATLAS_8TeV_y_0_0.4	6	1.9202	0.3487	2.2689
ATLAS_8TeV_y_0.4_0.8	6	2.1954	0.2606	2.4559
ATLAS_8TeV_y_0.8_1.2	6	0.8627	0.0634	0.9261
ATLAS_8TeV_y_1.2_1.6	6	0.8989	0.104	1.0028
ATLAS_8TeV_y_1.6_2	6	0.5636	0.0738	0.6374
ATLAS_8TeV_y_2_2.4	6	0.6445	0.279	0.9235
ATLAS_8TeV_Q_46_66	4	2.2661	0.7195	2.9856
ATLAS_8TeV_Q_116_150	8	0.4965	0.0032	0.4997
Total	319	-	-	1.0347

Mean-replica \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.5534	0.027	0.5804
E605_Q_8_9	8	1.1713	0.0285	1.1998
E605_Q_10.5_11.5	10	0.2253	0.1561	0.3815
E288_200_Q_4_5	4	0.2585	0.4542	0.7127
E288_200_Q_5_6	5	0.9114	0.2126	1.124
E288_200_Q_6_7	6	0.2511	0.1147	0.3659
E288_200_Q_7_8	7	0.5005	0.0132	0.5136
E288_200_Q_8_9	8	0.7986	0.02	0.8186
E288_300_Q_4_5	4	0.2503	0.3456	0.5959
E288_300_Q_5_6	5	0.5547	0.152	0.7067
E288_300_Q_6_7	6	0.4545	0.0487	0.5032
E288_300_Q_7_8	7	0.1387	0.0215	0.1602
E288_300_Q_8_9	8	0.3972	0.0109	0.408
E288_400_Q_5_6	5	0.2878	0.0253	0.3131
E288_400_Q_6_7	6	0.1049	0.0022	0.1071
E288_400_Q_7_8	7	0.0375	0.01	0.0475
E288_400_Q_8_9	8	0.5503	0.0432	0.5935
E288_400_Q_11_12	11	0.6806	0.0687	0.7493
E288_400_Q_12_13	12	0.7923	0.0496	0.8419
E288_400_Q_13_14	12	1.1274	0.0596	1.187
STAR_510	7	0.7653	0.0612	0.8265
CDF_RunI	25	0.4703	0.0594	0.5296
CDF_RunII	26	0.8568	0.0007	0.8575
D0_RunI	12	0.65	0.0402	0.6902
D0_RunII	5	0.8905	0.5827	1.4732
D0_RunIImu	3	2.9186	0.0261	2.9447
LHCb_7TeV	7	1.0259	0.1649	1.1908
LHCb_8TeV	7	0.6459	0.0956	0.7415
LHCb_13TeV	7	0.8563	0.0249	0.8812
CMS_7TeV	4	2.1183	0	2.1183
CMS_8TeV	4	1.4613	0.0051	1.4664
ATLAS_7TeV_y_0_1	6	3.0761	0.0351	3.1112
ATLAS_7TeV_y_1_2	6	4.2003	1.082	5.2823
ATLAS_7TeV_y_2_2.4	6	3.5882	0.3841	3.9722
ATLAS_8TeV_y_0_0.4	6	1.9839	0.3606	2.3445
ATLAS_8TeV_y_0.4_0.8	6	2.0855	0.3273	2.4128
ATLAS_8TeV_y_0.8_1.2	6	1.0573	0.0911	1.1484
ATLAS_8TeV_y_1.2_1.6	6	0.8265	0.096	0.9224
ATLAS_8TeV_y_1.6_2	6	0.6823	0.0118	0.6941
ATLAS_8TeV_y_2_2.4	6	0.5843	0.24	0.8244
ATLAS_8TeV_Q_46_66	4	2.4774	0.6449	3.1223
ATLAS_8TeV_Q_116_150	8	0.4942	0.0026	0.4968
Total	319	-	-	1.0409

Average-over-replicas \chi^2’s:
Experiment	Number of points	\chi_{D}^2	\chi_{\lambda}^2	\chi^2
E605_Q_7_8	7	0.5301 \pm 0.2036	0.1336 \pm 0.1703	0.6637 \pm 0.1119
E605_Q_8_9	8	1.4211 \pm 0.2676	0.0968 \pm 0.1303	1.5179 \pm 0.2384
E605_Q_10.5_11.5	10	0.4292 \pm 0.3032	0.2265 \pm 0.2673	0.6557 \pm 0.1126
E288_200_Q_4_5	4	0.2302 \pm 1.5175	1.2712 \pm 1.4492	1.5013 \pm 0.3342
E288_200_Q_5_6	5	1.3792 \pm 0.7025	0.4833 \pm 0.6399	1.8625 \pm 0.2392
E288_200_Q_6_7	6	0.1591 \pm 0.4359	0.3401 \pm 0.4263	0.4991 \pm 0.1105
E288_200_Q_7_8	7	0.3682 \pm 0.2832	0.1817 \pm 0.2315	0.55 \pm 0.1695
E288_200_Q_8_9	8	0.5094 \pm 0.1565	0.1375 \pm 0.1524	0.647 \pm 0.0852
E288_300_Q_4_5	4	0.2107 \pm 1.1718	0.8513 \pm 1.0855	1.0619 \pm 0.2725
E288_300_Q_5_6	5	0.6533 \pm 0.5022	0.3446 \pm 0.4636	0.9978 \pm 0.1492
E288_300_Q_6_7	6	0.3655 \pm 0.2934	0.1811 \pm 0.2521	0.5466 \pm 0.1418
E288_300_Q_7_8	7	-0.0046 \pm 0.2119	0.154 \pm 0.1983	0.1494 \pm 0.058
E288_300_Q_8_9	8	0.404 \pm 0.1581	0.1061 \pm 0.1451	0.5101 \pm 0.0894
E288_400_Q_5_6	5	0.1473 \pm 0.3078	0.2129 \pm 0.2788	0.3603 \pm 0.1138
E288_400_Q_6_7	6	-0.0051 \pm 0.1924	0.1356 \pm 0.1884	0.1306 \pm 0.0523
E288_400_Q_7_8	7	-0.0436 \pm 0.1961	0.1402 \pm 0.1833	0.0966 \pm 0.077
E288_400_Q_8_9	8	0.3883 \pm 0.2187	0.156 \pm 0.2056	0.5443 \pm 0.113
E288_400_Q_11_12	11	0.4861 \pm 0.2055	0.121 \pm 0.1339	0.6071 \pm 0.1649
E288_400_Q_12_13	12	0.4542 \pm 0.1483	0.1256 \pm 0.1411	0.5798 \pm 0.0504
E288_400_Q_13_14	12	0.5777 \pm 0.1357	0.1356 \pm 0.123	0.7133 \pm 0.0572
STAR_510	7	0.8069 \pm 0.2044	0.1415 \pm 0.2011	0.9484 \pm 0.0579
CDF_RunI	25	0.4989 \pm 0.1137	0.0971 \pm 0.1124	0.5959 \pm 0.0177
CDF_RunII	26	0.8392 \pm 0.0807	0.043 \pm 0.051	0.8822 \pm 0.0613
D0_RunI	12	0.544 \pm 0.1419	0.103 \pm 0.1362	0.647 \pm 0.037
D0_RunII	5	0.7611 \pm 0.7485	0.7627 \pm 0.7308	1.5237 \pm 0.2302
D0_RunIImu	3	2.4048 \pm 0.8891	0.5369 \pm 0.5761	2.9417 \pm 0.6618
LHCb_7TeV	7	0.8998 \pm 0.3477	0.3593 \pm 0.3473	1.2591 \pm 0.0511
LHCb_8TeV	7	0.5211 \pm 0.3402	0.2406 \pm 0.2962	0.7617 \pm 0.1913
LHCb_13TeV	7	0.8459 \pm 0.1969	0.107 \pm 0.151	0.9529 \pm 0.1333
CMS_7TeV	4	2.1221 \pm 0.012	0.0 \pm 0.0	2.1221 \pm 0.012
CMS_8TeV	4	1.341 \pm 0.1187	0.0683 \pm 0.1018	1.4092 \pm 0.058
ATLAS_7TeV_y_0_1	6	2.5017 \pm 0.312	0.0999 \pm 0.1481	2.6016 \pm 0.2743
ATLAS_7TeV_y_1_2	6	4.2127 \pm 0.4745	1.0264 \pm 0.4413	5.2391 \pm 0.1288
ATLAS_7TeV_y_2_2.4	6	3.5284 \pm 0.2071	0.4086 \pm 0.1603	3.937 \pm 0.1314
ATLAS_8TeV_y_0_0.4	6	1.9146 \pm 0.3393	0.3852 \pm 0.2909	2.2998 \pm 0.1527
ATLAS_8TeV_y_0.4_0.8	6	2.1413 \pm 0.329	0.3546 \pm 0.3138	2.4958 \pm 0.1229
ATLAS_8TeV_y_0.8_1.2	6	0.8871 \pm 0.1651	0.1014 \pm 0.1209	0.9886 \pm 0.0991
ATLAS_8TeV_y_1.2_1.6	6	0.8677 \pm 0.2508	0.1659 \pm 0.1836	1.0337 \pm 0.1676
ATLAS_8TeV_y_1.6_2	6	0.6278 \pm 0.3359	0.1395 \pm 0.1784	0.7673 \pm 0.2658
ATLAS_8TeV_y_2_2.4	6	0.6623 \pm 0.4017	0.3339 \pm 0.2603	0.9962 \pm 0.2806
ATLAS_8TeV_Q_46_66	4	2.1045 \pm 0.6727	0.8761 \pm 0.658	2.9806 \pm 0.1231
ATLAS_8TeV_Q_116_150	8	0.4079 \pm 0.1662	0.0979 \pm 0.165	0.5058 \pm 0.0114
Total	319	-	-	1.0655 \pm 0.0169